Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 8, Problem 46P
For pressure-driven, steady, fully developed laminar flow of an incompressible fluid through a straight channel of length L, we can define the hydraulic resistance as Rhyd = Δp/Q, where Δp is the pressure drop and Q is the flow rate (analogous to the electrical resistance Relec = ΔV/I, where ΔV is the electrical potential drop and I is the electric current). The following table summarizes the hydraulic resistance of channels with different cross sectional shapes [30]:
Calculate the hydraulic resistance of a straight channel with the listed cross-sectional shapes using the following parameters for water flow: μ = 1 mPa_s, L = 10 mm,a = 100 μm, b = 33 μm, h = 100μm, and w = 300 μm. Based on the calculated hydraulic resistance, which shape is the most energy efficient to pump water?
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ميكانيك نضري محاضرة 15 .pdf
crease of the flowrate by a factor of
Qu, G tan(e/2) VTe (3H, A
On C, tan(a/2) VE (HYA
= 15.6
(Ans)
H.W1:Water flows steadily through the large tanks shown in fig.
below. What is the water depth, h, ?
Page 5
Northern Technical University
Technical college of Engineering / Mosul
Engineering Mechanics (II)(second year)
FIGURE P3.58
(1)
0.03 -m diameter
(2)
(3)
0.05 - m diameter
2 m
here
(4)
1. h,=50.4 m
2. h,=15.4 m
3. h,=5.4 m
4. h,-25.4
m.
H.W:What is the manometer reading, h, for the flow shown in fig.
below?
0.37
0.08 m
diametar
0.05 m diameter
1. h=0.73 m
2. h=0.54 m
3. h=0.25 m
4. h=0.37 m
H.W3: What is flowrate through the submerged orifice shown in fig.
below, if the contraction coefficient C,=0.63 ?
(1)
3dn.
diameter
1. Q=0.351 ft'is 2. Q=0.351 m'is 3. Q=0.451 ft'/s
fe'/s.
4. Q=0.351
Page 6
i need help with the calculations. i am messing up something in the math
The velocity distribution in a 0.02 m
diameter horizontal pipe conveying carbon
tetrachloride (specific gravity = 1.59,
absolute viscosity = 9.6 x 10-6 Pa sec) is
given by the parabolic equation:
v(r)=0.01(0.12- r?), where v(r) is the velocity
in (m/s) at a distance r in (m) from the pipe
center. What is discharge?
O a.
3.13 x-8 m3/s
O b. None of the mentioned
O c. 1.047 x 108 m3/sec
O d. 4.97 x 109 m3/sec
Chapter 8 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 8 - Consider incompressible flow in a circular...Ch. 8 - What is the maximum flow rate of air that may...Ch. 8 - For flow in circular tubes, transition to...Ch. 8 - An incompressible fluid flows between two infinite...Ch. 8 - Oil is confined in a 4-in.-diameter cylinder by a...Ch. 8 - Viscous oil flows steadily between parallel...Ch. 8 - Calculate for the flow in this two-dimensional...Ch. 8 - The velocity profile in a two-dimensional open...Ch. 8 - A large mass is supported by a piston of diameter...Ch. 8 - A hydraulic jack supports a load of 9000 kg. The...
Ch. 8 - The basic component of a pressure gage tester...Ch. 8 - When a horizontal laminar flow occurs between two...Ch. 8 - In a laminar flow of water of 0:007 m3/s between...Ch. 8 - Consider the simple power-law model for a...Ch. 8 - A sealed journal bearing is formed from concentric...Ch. 8 - Using the profile of Problem 8.15, show that the...Ch. 8 - In a laminar flow between parallel plates spaced...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - Two immiscible fluids are contained between...Ch. 8 - The record-read head for a computer disk-drive...Ch. 8 - Consider steady, incompressible, and fully...Ch. 8 - In a flow of air between parallel plates spaced...Ch. 8 - Consider fully developed flow between parallel...Ch. 8 - Free-surface waves begin to form on a laminar...Ch. 8 - A viscous-shear pump is made from a stationary...Ch. 8 - The efficiency of the viscous-shear pump of Fig....Ch. 8 - An inventor proposes to make a viscous timer by...Ch. 8 - A continuous belt, passing upward through a...Ch. 8 - A wet paint film of uniform thickness, , is...Ch. 8 - Consider first water and then SAE 10W lubricating...Ch. 8 - Using Eq. 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The...Ch. 8 - A flow rate of 1.01/min of oil of specific gravity...Ch. 8 - Water flows in a smooth pipeline at a Reynolds...Ch. 8 - Air flows out of a clean room test chamber through...Ch. 8 - A conical diffuser is used to expand a pipe flow...Ch. 8 - By applying the basic equations to a control...Ch. 8 - Water at 45C enters a shower head through a...Ch. 8 - Water discharges to atmosphere from a large...Ch. 8 - A laboratory experiment is set up to measure...Ch. 8 - Oil with kinematic viscosity = 7.5 104 ft2/s...Ch. 8 - Water from a pump flows through a 9-in.-diameter...Ch. 8 - A 5-cm-diameter potable water line is to be run...Ch. 8 - A system for testing variable-output pumps...Ch. 8 - Two reservoirs are connected by three clean...Ch. 8 - Water, at volume flow rate Q = 0.75 ft3/s, is...Ch. 8 - When you drink a beverage with a straw, you need...Ch. 8 - What flow rate (gpm) will be produced in a...Ch. 8 - Gasoline flows in a long, underground pipeline at...Ch. 8 - An 18-in.-diameter new riveted steel pipeline 1000...Ch. 8 - What diameter of smooth masonry pipe is needed to...Ch. 8 - Water flows steadily in a 125-mm-diameter...Ch. 8 - Two galvanized iron pipes of diameter D are...Ch. 8 - A mining engineer plans to do hydraulic mining...Ch. 8 - The flow of water through a 150-mm-diameter...Ch. 8 - The fluid flowing has specific gravity 0.90; V75=6...Ch. 8 - Water is flowing. 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Neglect...Ch. 8 - A horizontal 50-mm-diameter PVC pipeline leaves...Ch. 8 - You are watering your lawn with an old hose....Ch. 8 - Your boss claims that for pipe flow the flow rate,...Ch. 8 - A hydraulic press is powered by a remote...Ch. 8 - One-quarter of a cubic meter per second of liquid...Ch. 8 - Calculate the flow rate from this water tank if...Ch. 8 - A 6-ft-diameter pipeline 4 miles long between two...Ch. 8 - A new industrial plant requires a water flow rate...Ch. 8 - What diameter water pipe is required to handle...Ch. 8 - A pipe friction experiment for air consists of a...Ch. 8 - Oil has been flowing from a large tank on a hill...Ch. 8 - The pressure rise across a water pump is 35 psi...Ch. 8 - Cooling water is pumped from a reservoir to rock...Ch. 8 - You are asked to size a pump for installation in...Ch. 8 - Heavy crude oil (SG = 0.925 and = 1.0 104 m2/s)...Ch. 8 - Petroleum products are transported over long...Ch. 8 - The head versus capacity curve for a certain fan...Ch. 8 - A swimming pool has a partial-flow filtration...Ch. 8 - Water at 65C flows through a 75-mm-diameter...Ch. 8 - A 12 in. 6 in. 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